Preliminaries introduction to Statistical Investigations |
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1 | (29) |
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Section P.1 Introduction to the Six-Step Method |
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2 | (5) |
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Example P.1 Organ Donations |
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Section P.2 Exploring Data |
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7 | (7) |
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Example P.2 Oh, Say Can You Sing? |
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7 | (7) |
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Section P.3 Exploring Random Processes |
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14 | (16) |
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Exploration P.3: Cars or Goats |
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14 | (16) |
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UNIT 1 Four Pillars of Inference: Strength, Size, Breadth, and Cause |
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30 | (248) |
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1 Significance: How Strong Is the Evidence? |
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31 | (86) |
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Section 1.1 Introduction to Chance Models |
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32 | (13) |
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Example 1.1 Can Dolphins Communicate? |
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33 | (8) |
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Exploration 1.1 Can Dogs Understand Human Cues? |
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41 | (4) |
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Section 1.2 Measuring the Strength of Evidence |
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45 | (12) |
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Example 1.2 Rock-Paper-Scissors |
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46 | (6) |
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Exploration 1.2 Tasting Water |
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52 | (5) |
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Section 1.3 Alternative Measure of Strength of Evidence |
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57 | (9) |
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Example 1.3 Heart Transplant Operations |
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58 | (4) |
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Exploration 1.3 Do People Use Facial Prototyping? |
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62 | (4) |
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Section 1.4 What Impacts Strength of Evidence? |
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66 | (9) |
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Example 1.4 Predicting Elections from Faces? |
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66 | (6) |
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Exploration 1.4 Competitive Advantage to Uniform Colors? |
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72 | (3) |
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Section 1.5 Inference for a Single Proportion: Theory-Based Approach |
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75 | (42) |
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Example 1.5 Halloween Treats |
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77 | (3) |
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Exploration 1.5 Eye Dominance |
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80 | (37) |
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2 Generalization: How Broadly Do the Results Apply? |
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117 | (71) |
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Section 2.1 Sampling from a Finite Population: Proportions |
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118 | (15) |
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Example 2.1 Voter Turnout |
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119 | (7) |
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Exploration 2.1 Sampling Words |
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126 | (7) |
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Section 2.2 Quantitative Data |
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133 | (10) |
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Example 2.2 Sampling Students |
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134 | (4) |
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Exploration 2.2 Sampling Words (cont.) |
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138 | (5) |
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Section 2.3 Theory-based Inference for a Population Mean |
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143 | (11) |
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Example 2.3 Estimating Elapsed Time |
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143 | (7) |
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Exploration 2.3 Sleepless Nights? |
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150 | (4) |
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Section 2.4 Other Statistics |
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154 | (34) |
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Example 2.4 Estimating Elapsed Time (cont.) |
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154 | (6) |
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Exploration 2.4 Backpack Weights |
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160 | (28) |
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3 Estimation: How Large Is the Effect? m |
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Section 3.1 Statistical Inference: Confidence Intervals |
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188 | (10) |
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Example 3.1 Can Dogs Sniff Out Cancer? |
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189 | (5) |
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Exploration 3.1 Kissing Right? |
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194 | (4) |
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Section 3.2 2SD and Theory-Based Confidence Intervals for a Single Proportion |
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198 | (9) |
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Example 3.2 Cyberbullying |
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198 | (5) |
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Exploration 3.2 How Mobile Are We? |
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203 | (4) |
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Section 3.3 2SD and Theory-Based Confidence Intervals for a Single Mean |
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207 | (6) |
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207 | (3) |
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Exploration 3.3 Sleepless Nights? (cont.) |
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210 | (3) |
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Section 3.4 Factors That Affect the Width of a Confidence Interval |
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213 | (32) |
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Example 3.4 American Cat Ownership |
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214 | (2) |
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Exploration 3.4A Holiday Spending Habits |
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216 | (2) |
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Exploration 3.4B Reese's Pieces |
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218 | (27) |
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4 Causation: Can We Say What Caused the Effect? |
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245 | (33) |
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Section 4.1 Association and Confounding |
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246 | (6) |
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Example 4.1 Night Lights and Nearsightedness |
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247 | (3) |
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Exploration 4.1 Home Court Disadvantage? |
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250 | (2) |
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Section 4.2 Observational Studies Versus Experiments |
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252 | (26) |
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Example 4.2 Lying on the Internet |
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253 | (4) |
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Exploration 4.2 Have a Nice Trip |
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257 | (21) |
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UNIT 2 COMPARING TWO GROUPS |
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278 | (178) |
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5 Comparing Two Proportions |
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279 | (67) |
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Section 5.1 Comparing Two Groups: Categorical Response |
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280 | (8) |
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280 | (5) |
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Exploration 5.1 Murderous Nurse? |
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285 | (3) |
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Section 5.2 Comparing Two Proportions: Simulation-Based Approach |
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288 | (16) |
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Example 5.2 Swimming with Dolphins |
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289 | (8) |
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Exploration 5.2 Is Yawning Contagious? |
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297 | (7) |
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Section 5.3 Comparing Two Proportions: Theory-Based Approach |
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304 | (42) |
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Example 5.3 Parents' Smoking Status and Their Babies' Sex |
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305 | (6) |
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Exploration 5.3 Donating Blood |
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311 | (35) |
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346 | (61) |
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Section 6.1 Comparing Two Groups: Quantitative Response |
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347 | (7) |
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Example 6.1 Geyser Eruptions |
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347 | (3) |
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Exploration 6.1 Cancer Pamphlets |
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350 | (4) |
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Section 6.2 Comparing Two Means: Simulation-Based Approach |
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354 | (15) |
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354 | (9) |
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Exploration 6.2 Lingering Effects of Sleep Deprivation |
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363 | (6) |
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Section 6.3 Comparing Two Means: Theory-Based Approach |
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369 | (38) |
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Example 6.3 Violent Video Games and Aggression |
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369 | (9) |
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Exploration 6.3 Close Friends |
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378 | (29) |
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7 Paired Data: One Quantitative Variable |
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407 | (49) |
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Section 7.1 Paired Designs |
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408 | (5) |
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Example 7.1 Can You Study with Music Blaring? |
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408 | (3) |
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Exploration 7.1 Rounding First Base |
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411 | (2) |
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Section 7.2 Simulation-Based Approach to Analyzing Paired Data |
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413 | (12) |
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Example 7.2 Rounding First Base (cont.) |
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414 | (6) |
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Exploration 7.2 Exercise and Heart Rate |
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420 | (5) |
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Section 7.3 Theory-Based Approach to Analyzing Data from Paired Samples |
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425 | (31) |
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425 | (6) |
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Exploration 7.3 Comparing Auction Formats |
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431 | (25) |
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UNIT 3 Analyzing More General Situations |
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456 | (2) |
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8 Comparing More Than Two Proportions |
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458 | (1) |
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Section 8.1 Comparing Multiple Proportions: Simulation-Based Approach |
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459 | (1) |
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Example 8.1 Coming to a Stop |
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460 | (6) |
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Exploration 8.1 Recruiting Organ Donors |
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466 | (4) |
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Section 8.2 Comparing Multiple Proportions: Theory-Based Approach |
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470 | (1) |
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Example 8.2 Sham Acupuncture |
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471 | (5) |
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Exploration 8.2A Conserving Hotel Towels |
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476 | (4) |
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Exploration 8.2B Nearsightedness and Night Lights Revisited |
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480 | (4) |
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Section 8.3 Chi-Square Goodness-of-Fit Test |
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484 | (35) |
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484 | (6) |
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Exploration 8.3 Are Birthdays Equally Distributed Throughout the Week? |
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490 | (29) |
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9 Comparing More Than Two Means |
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519 | (46) |
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Section 9.1 Comparing Multiple Means: Simulation-Based Approach |
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520 | (9) |
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Example 9.1 Comprehending Ambiguous Prose |
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520 | (5) |
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Exploration 9.1 Exercise and Brain Volume |
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525 | (4) |
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Section 9.2 Comparing Multiple Means: Theory-Based Approach |
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529 | (36) |
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Example 9.2 Recalling Ambiguous Prose |
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530 | (8) |
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Exploration 9.2 Comparing Popular Diets |
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538 | (27) |
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10 Two Quantitative Variables |
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565 | (1) |
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Section 10.1 Two Quantitative Variables: Scatterplots and Correlation |
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566 | (1) |
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Example 10.1 Why Whales Are Big, but Not Bigger |
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567 | (4) |
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Exploration 10.1 Height and Winning at Tennis |
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571 | (5) |
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Section 10.2 Inference for the Correlation Coefficient: Simulation-Based Approach |
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576 | (9) |
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Example 10.2 Exercise Intensity and Mood Changes |
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576 | (4) |
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Exploration 10.2 Draft Lottery |
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580 | (5) |
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Section 10.3 Least Squares Regression |
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585 | (11) |
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Example 10.3 Height and Winning at Tennis (cont.) |
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585 | (5) |
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Exploration 10.3 Predicting Height from Footprints |
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590 | (6) |
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Section 10.4 Inference for the Regression Slope: Simulation-Based Approach |
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596 | (5) |
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Example 10.4 Do Students Who Spend More Time in Non-Academic Activities Tend to Have Lower GPAs? |
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596 | (3) |
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Exploration 10.4 Predicting Brain Density from Number of Facebook Friends |
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599 | (2) |
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Section 10.5 Inference for the Regression Slope: Theory-Based Approach |
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601 | (1) |
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Example 10.5A Predicting Heart Rate from Body Temperature |
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602 | (4) |
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Example 10.5B Smoking and Drinking |
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606 | (2) |
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Exploration 10.5 Predicting Brain Density from Number of Facebook Friends (cont.) |
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608 | |
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UNIT 4 Probability (Online) |
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1 | (1) |
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2 | (1) |
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Section 11.1 Basics of Probability |
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3 | (1) |
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Example 11.1 Random Ice Cream Prices |
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3 | (5) |
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Exploration 11.1 Random Babies |
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8 | (2) |
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Section 11.2 Probability Rules |
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10 | (9) |
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Example 11.2 Watching Films |
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11 | (4) |
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Exploration 11.2 Random Ice Cream Prices (cont.) |
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15 | (4) |
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Section 11.3 Conditional Probability and Independence |
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19 | (11) |
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Example 11.3 Watching Films Revisited |
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20 | (5) |
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Exploration 11.3A College Admissions |
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25 | (3) |
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Exploration 11.3B Rare Disease Testing |
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28 | (2) |
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Section 11.4 Discrete Random Variables |
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30 | (8) |
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Example 11.4 A Game of Chance |
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30 | (5) |
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Exploration 11.4 Traffic Lights |
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35 | (3) |
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Section 11.5 Random Variable Rules |
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38 | (12) |
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Example 11.5 A Game of Chance Revisited |
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38 | (7) |
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Exploration 11.5 Skee-Ball |
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45 | (5) |
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Section 11.6 Binomial and Geometric Random Variables |
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50 | (13) |
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Example 11.6 Time to Leave the Nest? |
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52 | (7) |
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Exploration 11.6 Clueless Quiz |
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59 | (4) |
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Section 11.7 Continuous Random Variables and Normal Distributions |
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63 | (9) |
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Example 11.7 Heights of Adult Women |
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65 | (4) |
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Exploration 11.7A Birthweights |
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69 | (2) |
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Exploration 11.7B Run, Girl, Run! |
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71 | (1) |
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Section 11.8 Revisiting Theory-Based Approximations of Sampling Distributions |
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72 | (573) |
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Example 11.8A Time to Leave the Nest Revisited |
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74 | (1) |
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Example 11.8B Intelligence Test |
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75 | (2) |
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Exploration 11.8A Racket Spinning |
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77 | (1) |
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Exploration 11.8B Random Ice Cream Prices (cont.) |
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77 | (568) |
Appendix A Calculation Details |
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645 | (17) |
Appendix B Stratified and Cluster Samples |
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662 | (4) |
Solutions to selected exercises |
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666 | (62) |
Index |
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